In this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as a multi-objective program to solve the physical-mechanical symmetry law governing equations, according to the finite element method. Two different layers, A (3104–2984 m) and B (4216–4326 m), are considered in the model. According to the result of this study, the maximum fracture opening length in the connection of the wall surface is 10 and 9 mm for layer B and layer A, respectively. Moreover, the internal fracture fluid pressure for layer B and layer A is 65 and 53 Mpa. It is indicated that fracture fluid pressure reduced with the increase in fracture propagation length. Consequently, the results of this study would be of benefit for petroleum industries to consider several crucial geomechanical characteristics in hydraulic fractures simultaneously as a developed numerical model for different formation layers to compare a comprehensive analysis between each layer.

No abstract

By taking the 16 cities in Anhui Province for evaluation, the main influencing factors and indicator system for integrated urban-rural development in the new era were explored, to build the BCC model, cross-efficiency model, and game cross-efficiency model of DEA. The above models were applied for empirical analysis and comparative study on the rural revitalization and urban-rural integration efficiency in Anhui Province, to summarize the conclusions efficiency and give suggestions based on the above calculations.

In order to improve the living conditions of the residents and improve

In the study on China’s securities industry, the securities industry is divided into four types: investment in securities, securities brokerage, securities consulting, and securities underwriting and asset management. In this paper, a performance evaluation index system for the securities industry is established by using the balanced scorecard method. Based on the analytic hierarchy process, entropy weight method, and improved entropy weight method, we propose the traditional integrated weighting method and improved integrated weighting method, thus arriving at four different index weight systems. Finally, we work out the comprehensive scores of four types of securities companies under the four index weight systems, analyze the actual situation of China’s securities industry by comparing the scores and rankings of securities companies under the four index weight systems, and then put forward specific suggestions.